Search a number
-
+
220120201020 = 223553321721517
BaseRepresentation
bin1100110100000000101…
…1111011011100111100
3210001011112222210112210
43031000023323130330
512101301232413040
6245042151500420
721621532560126
oct3150013733474
9701145883483
10220120201020
118539712a005
12367b1987710
13179ac891375
14a922336216
155ad4a35480
hex33402fb73c

220120201020 has 96 divisors (see below), whose sum is σ = 628189950528. Its totient is φ = 57570619392.

The previous prime is 220120201001. The next prime is 220120201033. The reversal of 220120201020 is 20102021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220120200987 and 220120201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10219302 + ... + 10240818.

It is an arithmetic number, because the mean of its divisors is an integer number (6543645318).

Almost surely, 2220120201020 is an apocalyptic number.

220120201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314094975264).

220120201020 is an abundant number, since it is smaller than the sum of its proper divisors (408069749508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220120201020 is a wasteful number, since it uses less digits than its factorization.

220120201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24799 (or 24797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220120201020 its reverse (20102021022), we get a palindrome (240222222042).

The spelling of 220120201020 in words is "two hundred twenty billion, one hundred twenty million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3217 6434 9651 12868 16085 19302 21517 32170 38604 43034 48255 64340 64551 86068 96510 107585 129102 170501 193020 215170 258204 322755 341002 430340 511503 645510 682004 852505 1023006 1140401 1291020 1705010 2046012 2280802 2557515 3410020 3421203 4561604 5115030 5702005 6842406 10230060 11404010 13684812 17106015 22808020 34212030 68424060 69220189 138440378 207660567 276880756 346100945 415321134 692201890 830642268 1038302835 1384403780 2076605670 3668670017 4153211340 7337340034 11006010051 14674680068 18343350085 22012020102 36686700170 44024040204 55030050255 73373400340 110060100510 220120201020